Well-posedness of generalized mixed variational inequalities, inclusion problems and fixed-point problems

作者：Ceng, L C; Yao, J C^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2008, 69(12): 4585-4603.

DOI：10.1016/j.na.2007.11.015

• Generalized mixed variational inequalities
• Inclusion problem
• Fixed-point problem
• Well-posedness
• KKM-Fan lemma
• Hausdorff metric
• Nadler's result

We introduced and studied the concept of well-posedness to a generalized mixed variational inequality. Some characterizations are given. Under suitable conditions, we prove that the well-posedness of the generalized rnixed variational inequality is equivalent to the well-posedness of the corresponding inclusion problem. We also discuss the relations between the well-posedness of the,generalized mixed variational inequality and the well-posedness of the corresponding fixed-point problem. Finally, we derive sonic conditions under which the generalized mixed variational inequality is well-posed.

• 出版日期2008-12-15
• 单位中山大学; 上海师范大学